Single and coupled degenerate defect modes in two-dimensional photonic crystal band gaps

Mahmoodian, S; McPhedran, R; De Sterke, C; Dossou, K; Poulton, C; Botten, L

Single and coupled degenerate defect modes in two-dimensional photonic crystal band gaps

Mahmoodian, S McPhedran, R De Sterke, C Dossou, K Poulton, C Botten, L

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Publisher:: American Physical Society
Publication Type:: Journal Article
Citation:: Mahmoodian Sahand et al. 2009, 'Single and coupled degenerate defect modes in two-dimensional photonic crystal band gaps', American Physical Society, vol. 79, no. 1, pp. 013814-1-013814-12.
Issue Date:: 2009

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Field	Value	Language
dc.contributor.author	Mahmoodian, S	en_US
dc.contributor.author	McPhedran, R	en_US
dc.contributor.author	De Sterke, C	en_US
dc.contributor.author	Dossou, K	en_US
dc.contributor.author	Poulton, C	en_US
dc.contributor.author	Botten, L	en_US
dc.date.accessioned	2010-05-28T09:49:28Z
dc.date.available	2010-05-28T09:49:28Z
dc.date.issued	2009	en_US
dc.identifier	2008001175	en_US
dc.identifier.citation	Mahmoodian Sahand et al. 2009, 'Single and coupled degenerate defect modes in two-dimensional photonic crystal band gaps', American Physical Society, vol. 79, no. 1, pp. 013814-1-013814-12.	en_US
dc.identifier.issn	1050-2947	en_US
dc.identifier.other	C1	en_US
dc.identifier.uri	http://hdl.handle.net/10453/9418
dc.description.abstract	We investigate the formation and coupling of defect modes in two-dimensional photonic crystal (PC) band gaps associated with degenerate edges. Using a method based on Green's functions and perturbation theory, we derive a condition for the degeneracy of a defect mode in a PC band gap. We show that the interaction between multiple degenerate defects splits this degeneracy and provide a semi-analytic model for the splitting using a 4??4 tight-binding matrix. We observe that the structure of this tight-binding matrix is related to the overlap and corresponding symmetry of the defect modes. We confirm our analysis by comparing with numerical results.	en_US
dc.publisher	American Physical Society	en_US
dc.relation.ispartof	Verified OK	en_US
dc.relation.ispartof	Physical Review A	en_US
dc.relation.isbasedon	http://dx.doi.org/10.1103/PhysRevA.79.013814	en_US
dc.subject	crystal defects, Green's function methods, matrix algebra, perturbation theory, photonic band gap, photonic crystals.	en_US
dc.subject.classification	Optical Physics	en_US
dc.title	Single and coupled degenerate defect modes in two-dimensional photonic crystal band gaps	en_US
dc.type	Journal article
utslib.citation.volume	79	en_US
utslib.citation.number	1	en_US
utslib.location	USA	en_US
utslib.citation.startpage	013814-1	en_US
utslib.citation.endpage	013814-12	en_US
utslib.identifier.org	SCI.Mathematical Sciences	en_US
utslib.for	020500	en_US
utslib.percentage	50	en_US
utslib.copyright.status	closed_access

Abstract:

We investigate the formation and coupling of defect modes in two-dimensional photonic crystal (PC) band gaps associated with degenerate edges. Using a method based on Green's functions and perturbation theory, we derive a condition for the degeneracy of a defect mode in a PC band gap. We show that the interaction between multiple degenerate defects splits this degeneracy and provide a semi-analytic model for the splitting using a 4??4 tight-binding matrix. We observe that the structure of this tight-binding matrix is related to the overlap and corresponding symmetry of the defect modes. We confirm our analysis by comparing with numerical results.

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http://hdl.handle.net/10453/9418